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Finding the Fourth Proportional to 617,238.71, 926,024.47 and 257,289.93

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Solution

The fourth proportional to 617,238.71, 926,024.47 and 257,289.93 is: 386,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,238.71 : 926,024.47 = 257,289.93 : x
  2. Step 2: Convert to fraction form
    617,238.71/926,024.47 = 257,289.93/x
  3. Step 3: Cross multiply
    617,238.71x = 926,024.47 × 257,289.93
  4. Step 4: Simplify right side
    617,238.71x = 238,256,771,064.59
  5. Step 5: Solve for x
    x = 238,256,771,064.59/617,238.71
  6. Step 6: Final answer
    x = 386,004.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.